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Theorems · Definition · category theory

CategoryTheory.Oplax.OplaxTrans.homCategory

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          CategoryTheory.Category.{max u₁ w₂, max (max (max u₁ v₁) v₂) w₂} (F ⟶ G)

Category structure on the oplax natural transformations between OplaxFunctors. Note that this a scoped instance in the Oplax.OplaxTrans namespace.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Oplax
Cited by
22 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Oplax.OplaxTrans.isoMk · cited by 2OplaxTrans.isoMkCategoryTheory.Oplax.OplaxTrans.leftUnitor · cited by 2OplaxTrans.leftUnitorCategoryTheory.Oplax.OplaxTrans.rightUnitor · cited by 2OplaxTrans.rightUnitorCategoryTheory.Oplax.OplaxTrans.associator · cited by 2OplaxTrans.associatorCategoryTheory.Oplax.OplaxTrans.homCategory.ext · cited by 1homCategory.extCategoryTheory.Oplax.OplaxTrans.whiskerLeft · cited by 1OplaxTrans.whiskerLeftCategoryTheory.Oplax.OplaxTrans.whiskerRight · cited by 1OplaxTrans.whiskerRightCategoryTheory.Oplax.OplaxTrans.homCategory.ext_iff · cited by 0homCategory.ext_iffCategoryTheory.Oplax.OplaxTrans.homCategory_comp_as_app · cited by 0OplaxTrans.homCategory_co…CategoryTheory.Oplax.OplaxTrans.homCategory_id_as_app · cited by 0OplaxTrans.homCategory_id…CategoryTheory.Oplax.OplaxTrans.isoMk_hom_as_app · cited by 0OplaxTrans.isoMk_hom_as_a…CategoryTheory.Oplax.OplaxTrans.isoMk_inv_as_app · cited by 0OplaxTrans.isoMk_inv_as_a…CategoryTheory.Oplax.OplaxTrans.leftUnitor_hom_as_app · cited by 0OplaxTrans.leftUnitor_hom…CategoryTheory.Oplax.OplaxTrans.leftUnitor_inv_as_app · cited by 0OplaxTrans.leftUnitor_inv…CategoryTheory.Oplax.OplaxTrans.rightUnitor_hom_as_app · cited by 0OplaxTrans.rightUnitor_ho…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.OplaxFunctor · cited by 253CategoryTheory.OplaxFunct…CategoryTheory.Oplax.OplaxTrans.categoryStruct · cited by 49OplaxTrans.categoryStructOplaxTrans.homCategoryCITED BYCITES

Cites5

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Cited by28

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